> From: DIETER ENSSLEN <[email protected]> > > yes, intriguing, mysterious, baffling > > but the answer is 1000, not 498.813
Tools don't contain answers, they merely enable people to derive them. That's exactly what I did. I was too lazy to recall a paper and pencil method or find the answer on the internet. I used J, and only J to find the answer. And the answer, obtained with J, is correct. > From: Oleg Kobchenko <[email protected]> > > > From: DIETER ENSSLEN > > > > Also, I just found out to my disappointment that J won't handle relatively > > simple definite integrals like 1/x^1.001 from 1 to infinity > > Using induction and forgiving numerical limitations, > it should probably be 1000. ^^^^ > > load'~system/packages/math/integrat.ijs' > > ^&_1.5 adapt 1 1e200 > 2 > ^&_1.2 adapt 1 1e200 > 5 > ^&_1.1 adapt 1 1e200 > 10 > > ^&_1.05 adapt 1 1e300 > 20 > ^&_1.02 adapt 1 1e300 > 50 > ^&_1.01 adapt 1 1e300 > 99.9 > > ^&_1.005 adapt 1 1e300 > 193.675 > ^&_1.002 adapt 1 1e300 > 374.406 > ^&_1.001 adapt 1 1e300 > 498.813 ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
